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Results tagged with uniform-spaces
Search options questions only
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user 47958
5
votes
0
answers
138
views
Is a successor to a successor to the trivial group topology on an Abelian group, totally bou...
Is there an example of an Abelian group $G$ and group topologies $\cal S$ and $\cal T$ on it such that $\cal S$ is an immediate successor to the trivial topology on $G$ (i.e there is no other group to …
- 1,145
3
votes
1
answer
149
views
Totally bounded group topologies on $\Bbb Q$ with trivial intersection of two neighborhoods
Are there totally bounded group topologies $\mathcal S$ and $\mathcal T$ on $\Bbb Q$ such that for some open sets $A\in\mathcal S$ and $B\in \mathcal T$ we have $A\cap B=\{0\}$?
- 1,145